An airline is considering charging a two-tiered rate for checked bags based on their weight. Before deciding at what weight to increase the rate, the airline wishes to estimate the mean weight per bag checked by passengers. It wants the estimate to be within 1 0.50 pounds ofthe true population mean. A pilot sample of checked bags produced the results shown below. 33 31 36 38 40 44 49 37 4O 35 D 40 37 32 49 49 49 38 45 35 41 a. What sample size should the airline use if it wants to have 95% condence? b. Suppose the airline managers do not want to take as large a sample as the one determined in part a. What general options do they have to lower the required sample size? a. The sample size must be at least . (Round up to the nearest whole number.)